83138319 has 48 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 47705760.

The previous prime is 83138309. The next prime is 83138323. The reversal of 83138319 is 91383138.

It is not a de Polignac number, because 83138319 - 2⁵ = 83138287 is a prime.

It is a super-2 number, since 2×83138319² = 13823960172291522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83138309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49969 + ... + 51605.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^83138319 is an apocalyptic number.

83138319 is a deficient number, since it is larger than the sum of its proper divisors (59957361).

83138319 is a wasteful number, since it uses less digits than its factorization.

83138319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1670 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83138319 is about 9118.0216604261. The cubic root of 83138319 is about 436.4492448159.

The spelling of 83138319 in words is "eighty-three million, one hundred thirty-eight thousand, three hundred nineteen".